3) A cheetah is hunting. Its prey run for 2.5 s at a constant velocity of +6.9 m/s. Starting from rest, what constant acceleration must the + cheetah maintain in order to run the same distance as its prey runs in the same time?

4) An astronaut on a distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of +12.1 m/s and measures a time of 18.5 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet?
(positive = up, negative = down)

3) A cheetah is hunting. Its prey run for 2.5 s at a constant velocity of +6.9 m/s. Starting from rest, what constant acceleration must the + cheetah maintain in order to run the same distance as its prey runs in the same time?

(^ stands for exponent)

Distance traveled by the prey = s = v t = 6.9 m/s. x 2.5 s = 17.25 m
(prey ...

A basketball player is balancing a spinning basketball on the tip of his finger. The angular velocity of the ball slows down from 18.5 to 14.1 rad/s. During the slow-down, the angular displacement is 85.1 rad. What is the time it takes for the ball to slow down?

Two soccer players start from rest, 49.0 m apart. They run directly toward each other, both players accelerating. The first player has an acceleration whose magnitude is 0.574 m/s2. The second player's acceleration has a magnitude of 0.226 m/s2. (a) How much time passes before they collide? (b) At the instant they collide, how f

Here, we provide a brief summary of some common kinematics, and solve three common kinematics problems, specifically from College Physics, by J. Serway, et al. We specifically find:
For a car traveling east at a given velocity, the final velocity for a constant acceleration in two different directions.
For an arrow shot s

The angular speed of the rotor in a centrifuge increases from 420 to 1420 rad/s in a time of 5.00 s.
(a.)What is the angle through which the rotor turns.
(b.)What is the magnitude of the angular acceleration?

Learning Goal: To understand the meaning of the variables that appear in the equations for rotational kinematics with constant angular acceleration.
Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or o

In reaching her destination, a backpacker walks with an average velocity of 1.14 m/s, due west. This average velocity results, because she hikes for 6.17 km with an average velocity of 2.53 m/s, due west, turns around, and hikes with an average velocity of 0.747 m/s, due east. How far east did she walk (in terms of km)?

A player throws a ball with an initial velocity Vo of 15 m/s from a point A located 1.5 m above the floor. Knowing that the ceiling of the gymnasium is 6 m high, determine the highest point B at which the ball can strike the wall 18 m away.
This problem was taken from the curvilinear motion of particles inside the kinematics

Bob the Iguana is waiting to use his Giant Slingshot to shoot the Evil Bart the Blackbird out of the sky as he flies overhead. Bob's Giant Slingshot launches a stone vertically so that the function h(t) = 300t — 16t^2 models the height h in feet of the stone t seconds after it leaves the slingshot. Answer each of the following

A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 4.2 m down a q = 23° incline. The sphere has a mass M = 4.1 kg and a radius R = 0.28 m.
a) Of the total kinetic energy of the sphere, what fraction is translational?
b) What is the translational kinetic energy of the sphere when i